3 28. Detectors at accelerators 3 g Limited by the readout electronics [10]. (Time resolution of 25 ns is planned for the ATLAS SCT.) h Analog readout of 34 μm pitch, monolithic pixel detectors Photon detectors Updated September 2009 by D. Chakraborty (Northern Illinois U) and T. Sumiyoshi (Tokyo Metro U). Most detectors in high-energy, nuclear, and astrophysics rely on the detection of photons in or near the visible range, 100 nm λ 1000 nm, or E a few ev. This range covers scintillation and Cherenkov radiation as well as the light detected in many astronomical observations. Generally, photodetection involves generating a detectable electrical signal proportional to the (usually very small) number of incident photons. The process involves three distinct steps: 1. Generation of a primary photoelectron or electron-hole (e-h) pairbyanincident photon by the photoelectric or photoconductive effect, 2. Amplification of the p.e. signal to detectable levels by one or more multiplicative bombardment steps and/or an avalanche process (usually), and, 3. Collection of the secondary electrons to form the electrical signal. The important characteristics of a photodetector include the following in statistical averages: 1. Quantum efficiency (QE or ɛ Q ): the number of primary photoelectrons generated per incident photon (0 ɛ Q 1; in silicon more than one e-h pair per incident photon can be generated for λ < 165 nm), 2. Collection efficiency (CE or ɛ C ): the overall acceptance factor other than the generation of photoelectrons (0 ɛ C 1), 3. Gain (G): the number of electrons collected for each photoelectron generated, 4. Dark current or dark noise: the electrical signal when there is no photon, 5. Energy resolution: electronic noise (ENC or N e ) and statistical fluctuations in the amplification process compound the Poisson distribution of n γ photons from a given source: σ(e) E = f N n γ ɛ Q ɛ C + ( N e Gn γ ɛ Q ɛ C ) 2, (28.1) where f N, or the excess noise factor (ENF), is the contribution to the energy distribution variance due to amplification statistics [11], 6. Dynamic range: the maximum signal available from the detector (this is usually expressed in units of the response to noise-equivalent power, or NEP, which is the optical input power that produces a signal-to-noise ratio of 1), 7. Time dependence of the response: this includes the transit time, which is the time between the arrival of the photon and the electrical pulse, and the transit time spread, which contributes to the pulse rise time and width, and 8. Rate capability: inversely proportional to the time needed, after the arrival of one photon, to get ready to receive the next.

4 4 28. Detectors at accelerators Table 28.2: Representative characteristics of some photodetectors commonly used in particle physics. The time resolution of the devices listed here vary in the ps range. Type λ ɛ Q ɛ C Gain Risetime Area 1-p.e noise HV Price (nm) (ns) (mm 2 ) (Hz) (V) (USD) PMT MCP HPD GPM O(0.1) O(10) O(10) APD O(1) O(100) PPD O(10 6 ) O(100) VLPC O(10 4 ) 7 1 These devices often come in multi-anode configurations. In such cases, area, noise, and price are to be considered on a per readout-channel basis. The QE is a strong function of the photon wavelength (λ), and is usually quoted at maximum, together with a range of λ where the QE is comparable to its maximum. Spatial uniformity and linearity with respect to the number of photons are highly desirable in a photodetector s response. Optimization of these factors involves many trade-offs and vary widely between applications. For example, while a large gain is desirable, attempts to increase the gain for a given device also increases the ENF and after-pulsing ( echos of the main pulse). In solid-state devices, a higher QE often requires a compromise in the timing properties. In other types, coverage of large areas by focusing increases the transit time spread. Other important considerations also are highly application-specific. These include the photon flux and wavelength range, the total area to be covered and the efficiency required, the volume available to accommodate the detectors, characteristics of the environment such as chemical composition, temperature, magnetic field, ambient background, as well as ambient radiation of different types and, mode of operation (continuous or triggered), bias (high-voltage) requirements, power consumption, calibration needs, aging, cost, and so on. Several technologies employing different phenomena for the three steps described above, and many variants within each, offer a wide range of solutions to choose from. The salient features of the main technologies and the common variants are described below. Some key characteristics are summarized in Table 28.2.

5 28. Detectors at accelerators Vacuum photodetectors : Vacuum photodetectors can be broadly subdivided into three types: photomultiplier tubes, microchannel plates, and hybrid photodetectors Photomultiplier tubes: A versatile class of photon detectors, vacuum photomultiplier tubes (PMT) has been employed by a vast majority of all particle physics experiments to date [11]. Both transmission- and reflection-type PMT s are widely used. In the former, the photocathode material is deposited on the inside of a transparent window through which the photons enter, while in the latter, the photocathode material rests on a separate surface that the incident photons strike. The cathode material has a low work function, chosen for the wavelength band of interest. When a photon hits the cathode and liberates an electron (the photoelectric effect), the latter is accelerated and guided by electric fields to impinge on a secondary-emission electrode, or dynode, whichthenemitsafew( 5) secondary electrons. The multiplication process is repeated typically 10 times in series to generate a sufficient number of electrons, which are collected at the anode for delivery to the external circuit. The total gain of a PMT depends on the applied high voltage V as G = AV kn,wherek (depending on the dynode material), n is the number of dynodes in the chain, and A a constant (which also depends on n). Typically, G is in the range of Pulse risetimes are usually in the few nanosecond range. With e.g. two-level discrimination the effective time resolution can be much better. A large variety of PMT s, including many just recently developed, covers a wide span of wavelength ranges from infrared (IR) to extreme ultraviolet (XUV) [12]. They are categorized by the window materials, photocathode materials, dynode structures, anode configurations, etc. Common window materials are borosilicate glass for IR to near-uv, fused quartz and sapphire (Al 2 O 3 ) for UV, and MgF 2 or LiF for XUV. The choice of photocathode materials include a variety of mostly Cs- and/or Sb-based compounds such as CsI, CsTe, bi-alkali (SbRbCs, SbKCs), multi-alkali (SbNa 2 KCs), GaAs(Cs), GaAsP, etc. Sensitive wavelengths and peak quantum efficiencies for these materials are summarized in Table Typical dynode structures used in PMT s are circular cage, line focusing, box and grid, venetian blind, and fine mesh. In some cases, limited spatial resolution can be obtained by using a mosaic of multiple anodes. Fast PMT s with very large windows measuring up to 508 mm across have been developed in recent years for detection of Cherenkov radiation in neutrino experiments such as Super-Kamiokande and KamLAND among many others. Specially prepared low-radioactivity glass is used to make these PMT s, and they are also able to withstand the high pressure of the surrounding liquid. PMT s are vulnerable to magnetic fields sometimes even the geomagnetic field causes large orientation-dependent gain changes. A high-permeability metal shield is often necessary. However, proximity-focused PMT s, e.g. the fine-mesh types, can be used even in a high magnetic field ( 1 T) if the electron drift direction is parallel to the field. CMS uses custom-made vacuum phototriodes (VPT) mounted on the back face of projective lead tungstate crystals to detect scintillation light in the endcap sections of its electromagnetic calorimeters, which are inside a 3.8 T superconducting solenoid. A VPT employs a single dynode (thus, G 10) placed close to the photocathode, and a mesh anode plane between the two, to help it cope with the strong magnetic field, which is not

6 6 28. Detectors at accelerators too unfavorably oriented with respect to the photodetector axis in the endcaps (within 25 ), but where the radiation level is too high for APD s like those used in the barrel section Microchannel plates: A typical Microchannel plate (MCP) photodetector consists of one or more 2 mm thick glass plates with densely packed O(10 μm)-diameter cylindrical holes, or channels, sitting between the transmission-type photocathode and anode planes, separated by O(1 mm) gaps. Instead of discrete dynodes, the inner surface of each cylindrical tube serves as a continuous dynode for the entire cascade of multiplicative bombardments initiated by a photoelectron. Gain fluctuations can be minimized by operating in a saturation mode, whence each channel is only capable of a binary output, but the sum of all channel outputs remains proportional to the number of photons received so long as the photon flux is low enough to ensure that the probability of a single channel receiving more than one photon during a single time gate is negligible. MCP s are thin, offer good spatial resolution, have excellent time resolution ( 20 ps), and can tolerate random magnetic fields up to 0.1 T and axial fields up to 1 T. However, they suffer from relatively long recovery time per channel and short lifetime. MCP s are widely employed as image-intensifiers, although not so much in HEP or astrophysics Hybrid photon detectors: Hybrid photon detectors (HPD) combine the sensitivity of a vacuum PMT with the excellent spatial and energy resolutions of a Si sensor [13]. A single photoelectron ejected from the photocathode is accelerated through a potential difference of 20 kv before it impinges on the silicon sensor/anode. The gain nearly equals the maximum number of e-h pairs that could be created from the entire kinetic energy of the accelerated electron: G ev/w, wheree is the electronic charge, V is the applied potential difference, and w 3.7 ev is the mean energy required to create an e-h pair in Si at room temperature. Since the gain is achieved in a single step, one might expect to have the excellent resolution of a simple Poisson statistic with large mean, but in fact it is even better, thanks to the Fano effect discussed in Sec Low-noise electronics must be used to read out HPD s if one intends to take advantage of the low fluctuations in gain, e.g. when counting small numbers of photons. HPD s can have the same ɛ Q ɛ C and window geometries as PMT s and can be segmented down to 50 μm. However, they require rather high biases and will not function in a magnetic field. The exception is proximity-focused devices ( no (de)magnification) in an axial field. With time resolutions of 10 ps and superior rate capability, proximity-focused HPD s can be an alternative to MCP s. Current applications of HPD s include the CMS hadronic calorimeter and the RICH detector in LHCb. Large-size HPD s with sophisticated focusing may be suitable for future water Cherenkov experiments. Hybrid APD s (HAPD s) add an avalanche multiplication step following the electron bombardment to boost the gain by a factor of 50. This affords a higher gain and/or lower electrical bias, but also degrades the signal definition.

7 28. Detectors at accelerators 7 Table 28.3: Properties of photocathode and window materials commonly used in vacuum photodetectors [12]. Photocathode λ Window Peak ɛ Q (λ/nm) material (nm) material CsI MgF (135) CsTe MgF (210) Bi-alkali Borosilicate 0.27 (390) Quartz 0.27 (390) Multi-alkali Borosilicate 0.20 (360) Quartz 0.23 (280) GaAs(Cs) Quartz 0.23 (280) GaAsP(Cs) Borosilicate 0.42 (560) InP/InGaAsP Borosilicate 0.01 (1500) Reflection type photocathode is used. Requires cooling to 80 C Gaseous photon detectors : In gaseous photomultipliers (GPM) a photoelectron in a suitable gas mixture initiates an avalanche in a high-field region, producing a large number of secondary impact-ionization electrons. In principle the charge multiplication and collection processes are identical to those employed in gaseous tracking detectors such as multiwire proportional chambers, micromesh gaseous detectors (Micromegas), or gas electron multipliers (GEM). These are discussed in Sec The devices can be divided into two types depending on the photocathode material. One type uses solid photocathode materials much in the same way as PMT s. Since it is resistant to gas mixtures typically used in tracking chambers, CsI is a common choice. In the other type, photoionization occurs on suitable molecules vaporized and mixed in the drift volume. Most gases have photoionization work functions in excess of 10 ev, which would limit their sensitivity to wavelengths far too short. However, vapors of TMAE (tetrakis dimethyl-amine ethylene) or TEA (tri-ethyl-amine), which have smaller work functions (5.3 ev for TMAE and 7.5 ev for TEA), are suited for XUV photon detection [14]. Since devices like GEM s offer sub-mm spatial resolution, GPM s are often used as position-sensitive photon detectors. They can be made into flat panels to cover large areas (O(1 m 2 )), can operate in high magnetic fields, and are relatively inexpensive. Many of the ring imaging Cherenkov (RICH) detectors to date have used GPM s for the detection of Cherenkov light [15]. Special care must be taken to suppress the photon-feedback process in GPM s. It is also important to maintain high purity of the gas as minute traces of O 2 can significantly degrade the detection efficiency.

8 8 28. Detectors at accelerators Solid-state photon detectors : In a phase of rapid development, solid-state photodetectors are competing with vacuum- or gas-based devices for many existing applications and making way for a multitude of new ones. Compared to traditional vacuum- and gaseous photodetectors, solid-state devices are more compact, lightweight, rugged, tolerant to magnetic fields, and often cheaper. They also allow fine pixelization, are easy to integrate into large systems, and can operate at low electric potentials, while matching or exceeding most performance criteria. They are particularly well suited for detection of γ- and X-rays. Except for applications where coverage of very large areas or dynamic range is required, solid-state detectors are proving to be the better choice. Some hybrid devices attempt to combine the best features of different technologies while applications of nanotechnology are opening up exciting new possibilities. Silicon photodiodes (PD) are widely used in high-energy physics as particle detectors and in a great number of applications (including solar cells!) as light detectors. The structure is discussed in some detail in Sec In its simplest form, the PD is a reverse-biased p-n junction. Photons with energies above the indirect bandgap energy (wavelengths shorter than about 1050 nm, depending on the temperature) can create e-h pairs (the photoconductive effect), which are collected on the p and n sides, respectively. Often, as in the PD s used for crystal scintillator readout in CLEO, L3, Belle,BaBar, and GLAST, intrinsic silicon is doped to create a p-i-n structure. The reverse bias increases the thickness of the depleted region; in the case of these particular detectors, to full depletion at a depth of about 100 μm. Increasing the depletion depth decreases the capacitance (and hence electronic noise) and extends the red response. Quantum efficiency can exceed 90%, but falls toward the red because of the increasing absorption length of light in silicon. The absorption length reaches 100 μm at 985 nm. However, since G = 1, amplification is necessary. Optimal low-noise amplifiers are slow, but, even so, noise limits the minimum detectable signal in room-temperature devices to several hundred photons. Very large arrays containing O(10 7 )ofo(10 μm 2 )-sized photodioides pixelizing a plane are widely used to photograph all sorts of things from everyday subjects at visible wavelengths to crystal structures with X-rays and astronomical objects from infrared to UV. To limit the number of readout channels, these are made into charge-coupled devices (CCD), where pixel-to-pixel signal transfer takes place over thousands of synchronous cycles with sequential output through shift registers [16]. Thus, high spatial resolution is achieved at the expense of speed and timing precision. Custom-made CCD s have virtually replaced photographic plates and other imagers for astronomy and in spacecraft. Typical QE s exceed 90% over much of the visible spectrum, and thick CCD s have useful QE up to λ =1μm. Active Pixel Sensor (APS) arrays with a preamplifier on each pixel and CMOS processing afford higher speeds, but are challenged at longer wavelengths. Much R&D is underway to overcome the limitations of both CCD and CMOS imagers. In avalanche photodiodes (APD), an exponential cascade of impact ionizations initiated by the initial photogenerated e-h pair under a large reverse-bias voltage leads to an avalanche breakdown [17]. As a result, detectable electrical response can be obtained from low-intensity optical signals down to single photons. Excellent junction uniformity is

9 28. Detectors at accelerators 9 critical, and a guard ring is generally used as a protection against edge breakdown. Welldesigned APD s, such as those used in CMS crystal-based electromagnetic calorimeter, have achieved ɛ Q ɛ C 0.7 with sub-ns response time. The sensitive wavelength window and gain depend on the semiconductor used. The gain is typically in linear and up to 10 8 in Geiger mode of operation. Stability and close monitoring of the operating temperature are important for linear-mode operation, and substantial cooling is often necessary. Position-sensitive APD s use time information at multiple anodes to calculate the hit position. One of the most promising recent developments in the field is that of devices consisting of large arrays (O(10 3 )) of tiny APD s packed over a small area (O(1 mm 2 )) and operated in a limited Geiger mode [18]. Among different names used for this class of photodetectors, PPD (for Pixelized Photon Detector ) is most widely accepted (formerly SiPM ). Although each cell only offers a binary output, linearity with respect to the number of photons is achieved by summing the cell outputs in the same way as with a MCP in saturation mode (see above). PPD s are being adopted as the preferred solution for various purposes including medical imaging, e.g. positron emission tomography (PET). These compact, rugged, and economical devices allow auto-calibration through decent separation of photoelectron peaks and offer gains of O(10 6 ) at a moderate bias voltage ( 50 V). However, the single-photoelectron noise of a PPD, being the logical or of O(10 3 ) Geiger APD s, is rather large: O(1 MHz/mm 2 ) at room temperature. PPD s are particularly well-suited for applications where triggered pulses of several photons are expected over a small area, e.g. fiber-guided scintillation light. Intense R&D is expected to lower the noise level and improve radiation hardness, resulting in coverage of larger areas and wider applications. Attempts are being made to combine the fabrication of the sensors and the front-end electronics (ASIC) in the same process with the goal of making PPD s and other finely pixelized solid-state photodetectors extremely easy to use. Of late, much R&D has been directed to p-i-n diode arrays based on thin polycrystalline diamond films formed by chemical vapor deposition (CVD) on a hot substrate ( 1000 K) from a hydrocarbon-containing gas mixture under low pressure ( 100 mbar). These devices have maximum sensitivity in the extreme- to moderate-uv region [19]. Many desirable characteristics, including high tolerance to radiation and temperature fluctuations, low dark noise, blindness to most of the solar radiation spectrum, and relatively low cost make them ideal for space-based UV/XUV astronomy, measurement of synchrotron radiation, and luminosity monitoring at (future) lepton collider(s). Visible-light photon counters (VLPC) utilize the formation of an impurity band only 50 mev below the conduction band in As-doped Si to generate strong (G ) yet sharp response to single photons with ɛ Q 0.9 [20]. The smallness of the band gap considerably reduces the gain dispersion. Only a very small bias ( 7 V) is needed, but high sensitivity to infrared photons requires cooling below 10 K. The dark noise increases sharply and exponentially with both temperature and bias. The Run 2 DØ detector uses VLPC s to read the optical signal from its scintillating-fiber tracker and scintillator-strip preshower detectors.

10 Detectors at accelerators Organic scintillators Revised September 2007 by K.F. Johnson (FSU). Organic scintillators are broadly classed into three types, crystalline, liquid, and plastic, all of which utilize the ionization produced by charged particles (see Sec. 27.2) of this Review) to generate optical photons, usually in the blue to green wavelength regions [21]. Plastic scintillators are by far the most widely used. Crystal organic scintillators are practically unused in high-energy physics. Densities range from 1.03 to 1.20 g cm 3. Typical photon yields are about 1 photon per 100 ev of energy deposit [22]. A one-cm-thick scintillator traversed by a minimumionizing particle will therefore yield photons. The resulting photoelectron signal will depend on the collection and transport efficiency of the optical package and the quantum efficiency of the photodetector. Plastic scintillators do not respond linearly to the ionization density. Very dense ionization columns emit less light than expected on the basis of de/dx for minimumionizing particles. A widely used semi-empirical model by Birks posits that recombination and quenching effects between the excited molecules reduce the light yield [23]. These effects are more pronounced the greater the density of the excited molecules. Birks formula is dl dx = L de/dx 0 1+k B de/dx, (28.2) where L is the luminescence, L 0 is the luminescence at low specific ionization density, and k B is Birks constant, which must be determined for each scintillator by measurement. Decay times are in the ns range; rise times are much faster. The combination of high light yield and fast response time allows the possibility of sub-ns timing resolution [24]. The fraction of light emitted during the decay tail can depend on the exciting particle. This allows pulse shape discrimination as a technique to carry out particle identification. Because of the hydrogen content (carbon to hydrogen ratio 1) plastic scintillator is sensitive to proton recoils from neutrons. Ease of fabrication into desired shapes and low cost has made plastic scintillators a common detector component. Recently, plastic scintillators in the form of scintillating fibers have found widespread use in tracking and calorimetry [25] Scintillation mechanism : Scintillation: A charged particle traversing matter leaves behind it a wake of excited molecules. Certain types of molecules, however, will release a small fraction ( 3%) of this energy as optical photons. This process, scintillation, is especially marked in those organic substances which contain aromatic rings, such as polystyrene (PS) and polyvinyltoluene (PVT). Liquids which scintillate include toluene and xylene. Fluorescence: In fluorescence, the initial excitation takes place via the absorption of a photon, and de-excitation by emission of a longer wavelength photon. Fluors are used as waveshifters to shift scintillation light to a more convenient wavelength. Occurring in complex molecules, the absorption and emission are spread out over a wide band of photon energies, and have some overlap, that is, there is some fraction of the emitted light which can be re-absorbed [26]. This self-absorption is undesirable for detector

11 28. Detectors at accelerators 11 applications because it causes a shortened attenuation length. The wavelength difference between the major absorption and emission peaks is called the Stokes shift. It is usually the case that the greater the Stokes shift, the smaller the self absorption thus, a large Stokes shift is a desirable property for a fluor. Ionization excitation of base plastic 10 8 m 10 4 m 1 m Forster energy transfer γ γ emit UV, ~340 nm absorb UV photon emit blue, ~400 nm absorb blue photon base plastic primary fluor (~1% wt/wt ) secondary fluor (~0.05% wt/wt ) photodetector Figure 28.1: Cartoon of scintillation ladder depicting the operating mechanism of plastic scintillator. Approximate fluor concentrations and energy transfer distances for the separate sub-processes are shown. Scintillators: The plastic scintillators used in high-energy physics are binary or ternary solutions of selected fluors in a plastic base containing aromatic rings. (See the appendix in Ref. 27 for a comprehensive list of components.) Virtually all plastic scintillators contain as a base either PVT or PS. PVT-based scintillator can be up to 50% brighter. Ionization in the plastic base produces UV photons with short attenuation length (several mm). Longer attenuation lengths are obtained by dissolving a primary fluor in high concentration (1% by weight) into the base, which is selected to efficiently re-radiate absorbed energy at wavelengths where the base is more transparent. The primary fluor has a second important function. The decay time of the scintillator base material can be quite long in pure polystyrene it is 16 ns, for example. The addition of the primary fluor in high concentration can shorten the decay time by an order of magnitude and increase the total light yield. At the concentrations used (1% and greater), the average distance between a fluor molecule and an excited base unit is around 100 Å, much less than a wavelength of light. At these distances the predominant mode of energy transfer from base to fluor is not the radiation of a photon, but a resonant dipole-dipole interaction, first described by Foerster, which strongly couples the base and fluor [28]. The strong coupling sharply increases the speed and the light yield of the plastic scintillators. Unfortunately, a fluor which fulfills other requirements is usually not completely adequate with respect to emission wavelength or attenuation length, so it is necessary to add yet another waveshifter (the secondary fluor), at fractional percent levels, and

12 Detectors at accelerators occasionally a third (not shown in Fig. 28.1). External wavelength shifters: Light emitted from a plastic scintillator may be absorbed in a (nonscintillating) base doped with a wave-shifting fluor. Such wavelength shifters are widely used to aid light collection in complex geometries. The wavelength shifter must be insensitive to ionizing radiation and Cherenkov light. A typical wavelength shifter uses an acrylic base because of its good optical qualities, a single fluor to shift the light emerging from the plastic scintillator to the blue-green, and contains ultra-violet absorbing additives to deaden response to Cherenkov light Caveats and cautions : Plastic scintillators are reliable, robust, and convenient. However, they possess quirks to which the experimenter must be alert. Aging and Handling: Plastic scintillators are subject to aging which diminishes the light yield. Exposure to solvent vapors, high temperatures, mechanical flexing, irradiation, or rough handling will aggravate the process. A particularly fragile region is the surface which can craze develop microcracks which rapidly destroy the capability of plastic scintillators to transmit light by total internal reflection. Crazing is particularly likely where oils, solvents, or fingerprints have contacted the surface. Attenuation length: The Stokes shift is not the only factor determining attenuation length. Others are the concentration of fluors (the higher the concentration of a fluor, the greater will be its self-absorption); the optical clarity and uniformity of the bulk material; the quality of the surface; and absorption by additives, such as stabilizers, which may be present. Afterglow: Plastic scintillators have a long-lived luminescence which does not follow a simple exponential decay. Intensities at the 10 4 level of the initial fluorescence can persist for hundreds of ns [21,29]. Atmospheric quenching: Plastic scintillators will decrease their light yield with increasing partial pressure of oxygen. This can be a 10% effect in an artificial atmosphere [30]. It is not excluded that other gases may have similar quenching effects. Magnetic field: The light yield of plastic scintillators may be changed by a magnetic field. The effect is very nonlinear and apparently not all types of plastic scintillators are so affected. Increases of 3% at 0.45 T have been reported [31]. Data are sketchy and mechanisms are not understood. Radiation damage: Irradiation of plastic scintillators creates color centers which absorb light more strongly in the UV and blue than at longer wavelengths. This poorly understood effect appears as a reduction both of light yield and attenuation length. Radiation damage depends not only on the integrated dose, but on the dose rate, atmosphere, and temperature, before, during and after irradiation, as well as the materials properties of the base such as glass transition temperature, polymer chain length, etc. Annealing also occurs, accelerated by the diffusion of atmospheric oxygen and elevated temperatures. The phenomena are complex, unpredictable, and not well understood [32]. Since color centers are less intrusive at longer wavelengths, the most

13 28. Detectors at accelerators 13 reliable method of mitigating radiation damage is to shift emissions at every step to the longest practical wavelengths, e.g., utilize fluors with large Stokes shifts (aka the Better red than dead strategy) Scintillating and wavelength-shifting fibers : The clad optical fiber is an incarnation of scintillator and wavelength shifter (WLS) which is particularly useful [33]. Since the initial demonstration of the scintillating fiber (SCIFI) calorimeter [34], SCIFI techniques have become mainstream [35]. SCIFI calorimeters are fast, dense, radiation hard, and can have leadglass-like resolution. SCIFI trackers can handle high rates and are radiation tolerant, but the low photon yield at the end of a long fiber (see below) forces the use of sensitive photodetectors. WLS scintillator readout of a calorimeter allows a very high level of hermeticity since the solid angle blocked by the fiber on its way to the photodetector is very small. The sensitive region of scintillating fibers can be controlled by splicing them onto clear (non-scintillating/non-wls) fibers. A typical configuration would be fibers with a core of polystyrene-based scintillator or WLS (index of refraction n =1.59), surrounded by a cladding of PMMA (n =1.49) a few microns thick, or, for added light capture, with another cladding of fluorinated PMMA with n =1.42, for an overall diameter of 0.5 to 1 mm. The fiber is drawn from a boule and great care is taken during production to ensure that the intersurface between the core and the cladding has the highest possible uniformity and quality, so that the signal transmission via total internal reflection has a low loss. The fraction of generated light which is transported down the optical pipe is denoted the capture fraction and is about 6% for the single-clad fiber and 10% for the double-clad fiber. The number of photons from the fiber available at the photodetector is always smaller than desired, and increasing the light yield has proven difficult. A minimum-ionizing particle traversing a high-quality 1 mm diameter fiber perpendicular to its axis will produce fewer than 2000 photons, of which about 200 are captured. Attenuation may eliminate 95% of these photons in a large collider tracker. A scintillating or WLS fiber is often characterized by its attenuation length, over which the signal is attenuated to 1/e of its original value. Many factors determine the attenuation length, including the importance of re-absorption of emitted photons by the polymer base or dissolved fluors, the level of crystallinity of the base polymer, and the quality of the total internal reflection boundary. Attenuation lengths of several meters are obtained by high quality fibers. However, it should be understood that the attenuation length is not necessarily a measure of fiber quality. Among other things, it is not constant with distance from the excitation source and it is wavelength dependent. So-called cladding light causes some of the distance dependence [36], but not all. The wavelength dependence is usually related to the higher re-absorption of shorter wavelength photons once absorbed, re-emitted isotropically and lost with 90% probability and to the lower absorption of longer wavelengths by polystyrene. Experimenters should be aware that measurements of attenuation length by a phototube with a bialkali photocathode, whose quantum efficiency drops below 10% at 480 nm, should not be naïvely compared to measurements utilizing a silicon photodiode, whose quantum efficiency is still rising at 600 nm.

14 Detectors at accelerators Inorganic scintillators: Revised September 2009 by R.-Y. Zhu (California Institute of Technology) and C.L. Woody (BNL). Inorganic crystals form a class of scintillating materials with much higher densities than organic plastic scintillators (typically 4 8 g/cm 3 ) with a variety of different properties for use as scintillation detectors. Due to their high density and high effective atomic number, they can be used in applications where high stopping power or a high conversion efficiency for electrons or photons is required. These include total absorption electromagnetic calorimeters (see Sec ), which consist of a totally active absorber (as opposed to a sampling calorimeter), as well as serving as gamma ray detectors over a wide range of energies. Many of these crystals also have very high light output, and can therefore provide excellent energy resolution down to very low energies ( few hundred kev). Some crystals are intrinsic scintillators in which the luminescence is produced by a part of the crystal lattice itself. However, other crystals require the addition of a dopant, typically fluorescent ions such as thallium (Tl) or cerium (Ce) which is responsible for producing the scintillation light. However, in both cases, the scintillation mechanism is the same. Energy is deposited in the crystal by ionization, either directly by charged particles, or by the conversion of photons into electrons or positrons which subsequently produce ionization. This energy is transferred to the luminescent centers which then radiate scintillation photons. The efficiency η for the conversion of energy deposit in the crystal to scintillation light can be expressed by the relation [37] η = β S Q. (28.3) where β is the efficiency of the energy conversion process, S is the efficiency of energy transfer to the luminescent center, and Q is the quantum efficiency of the luminescent center. The value of η ranges between 0.1 and 1 depending on the crystal, and is the main factor in determining the intrinsic light output of the scintillator. In addition, the scintillation decay time is primarily determined by the energy transfer and emission process. The decay time of the scintillator is mainly dominated by the decay time of the luminescent center. For example, in the case of thallium doped sodium iodide (NaI(Tl)), the value of η is 0.5, which results in a light output 40,000 photons per MeV of energy deposit. This high light output is largely due to the high quantum efficiency of the thallium ion (Q 1), but the decay time is rather slow (τ 250 ns). Table 28.4 lists the basic properties of some commonly used inorganic crystal scintillators. NaI(Tl) is one of the most common and widely used scintillators, with an emission that is well matched to a bialkali photomultiplier tube, but it is highly hygroscopic and difficult to work with, and has a rather low density. CsI(Tl) has high light yield, an emission that is well matched to solid state photodiodes, and is mechanically robust (high plasticity and resistance to cracking). However, it needs careful surface treatment and is slightly hygroscopic. Compared with CsI(Tl), pure CsI has identical mechanical properties, but faster emission at shorter wavelengths and light output approximately an order of magnitude lower. BaF 2 has a fast component with a sub-nanosecond decay time, and is the fastest known scintillator. However, it also

15 28. Detectors at accelerators 15 has a slow component with a much longer decay time ( 630 ns). Bismuth gemanate (Bi 4 Ge 3 O 12 or BGO) has a high density, and consequently a short radiation length X 0 and Molière radius R M. BGO s emission is well-matched to the spectral sensitivity of photodiodes, and it is easy to handle and not hygroscopic. Lead tungstate (PbWO 4 or PWO) has a very high density, with a very short X 0 and R M, but its intrinsic light yield is rather low. Cerium doped lutetium oxyorthosilicate (Lu 2 SiO 5 :Ce, or LSO:Ce) [38] and cerium doped lutetium-yttrium oxyorthosilicate (Lu 2(1 x) Y 2x SiO 5, LYSO:Ce) [39] are dense crystal scintillators which have a high light yield and a fast decay time. Only properties of LSO:Ce is listed in Table 28.4 since the properties of LYSO:Ce are similar to that of LSO:Ce except a little lower density than LSO:Ce depending on the yttrium fraction in LYSO:Ce. This material is also featured with excellent radiation hardness [40], so is expected to be used where extraordinary radiation hardness is required. Table 28.4 also includes cerium doped lanthanum tri-halides, such as LaBr 3 [41], which is brighter and faster than LSO:Ce, but it is highly hygroscopic and has a lower density. The FWHM energy resolution measured for this material coupled to a PMT with bi-alkali photocathode for MeV γ-rays from a 137 Cs source is about 3%, which is the best among all inorganic crystal scintillators. For this reason, LaBr 3 is expected to be widely used in applications where a good energy resolution for low energy photons are required, such as homeland security. Beside the crystals listed in Table 28.4, a number of new crystals are being developed that may have potential applications in high energy or nuclear physics. Of particular interest is the family of yttrium and lutetium perovskites, which include YAP (YAlO 3 :Ce) and LuAP (LuAlO 3 :Ce) and their mixed compositions. These have been shown to be linear over a large energy range [42], and have the potential for providing extremely good intrinsic energy resolution. In addition, other fluoride crystals such as CeF 3 have been shown to provide excellent energy resolution in calorimeter applications. Table 28.4 gives the light output of other crystals relative to NaI(Tl) and their dependence to the temperature variations measured for crystal samples of 1.5 X 0 cube with a Tyvek paper wrapping and a full end face coupled to a photodetector [43]. The quantum efficiencies of the photodetector is taken out to facilitate a direct comparison of crystal s light output. However, the useful signal produced by a scintillator is usually quoted in terms of the number of photoelectrons per MeV produced by a given photodetector. The relationship between the number of photons/mev produced and photoelectrons/mev detected involves the factors for the light collection efficiency L and the quantum efficiency QE of the photodetector: N p.e. /MeV = L QE N γ /MeV (28.4) L includes the transmission of scintillation light within the crystal (i.e., the bulk attenuation length of the material), reflections and scattering from the surfaces, and the size and shape of the crystal. These factors can vary considerably depending on the sample, but can be in the range of 10 60%. The internal light transmission depends on the intrinsic properties of the material, e.g. the density and type of the scattering centers and defects that can produce internal absorption within the crystal, and can be highly affected by factors such as radiation damage, as discussed below.

16 Detectors at accelerators The quantum efficiency depends on the type of photodetector used to detect the scintillation light, which is typically 15 20% for photomultiplier tubes and 70% for silicon photodiodes for visible wavelengths. The quantum efficiency of the detector is usually highly wavelength dependent and should be matched to the particular crystal of interest to give the highest quantum yield at the wavelength corresponding to the peak of the scintillation emission. Fig shows the quantum efficiencies of two photodetectors, a Hamamatsu R2059 PMT with bi-alkali cathode and quartz window and a Hamamatsu S8664 avalanche photodiode (APD) as a function of wavelength. Also shown in the figure are emission spectra of three crystal scintillators, BGO, LSO:Ce/LYSO:Ce and CsI(Tl), and the numerical values of the emission weighted quantum efficiency. The area under each emission spectrum is proportional to crystal s light yield, as shown in Table 28.4, where the quantum efficiencies of the photodetector has been taken out. Results with different photodetectors can be significantly different. For example, the response of CsI(Tl) relative to NaI(Tl) with a standard photomultiplier tube with a bi-alkali photo-cathode, e.g. Hamamatsu R2059, would be 45 rather than 165 because of the photomultiplier s low quantum efficiency at longer wavelengths. For scintillators which emit in the UV, a detector with a quartz window should be used. For very low energy applications (typically below 1 MeV), non-proportionality of the scintillation light yield may be important. It has been known for a long time that the conversion factor between the energy deposited in a crystal scintillator and the number of photons produced is not constant. It is also known that the energy resolution measured by all crystal scintillators for low energy γ-rays is significantly worse than the contribution from photo-electron statistics alone, indicating an intrinsic contribution from the scintillator itself. Precision measurement using low energy electron beam shows that this non-proportionality is crystal dependent [44]. Recent study on this issue also shows that this effect is also sample dependent even for the same crystal [45]. Further work is therefore needed to fully understand this subject. One important issue related to the application of a crystal scintillator is its radiation hardness. Stability of its light output, or the ability to track and monitor the variation of its light output in a radiation environment, is required for high resolution and precision calibration [46]. All known crystal scintillators suffer from radiation damage. A common damage phenomenon is the appearance of radiation induced absorption caused by the formation of color centers originated from the impurities or point defects in the crystal. This radiation induced absorption reduces the light attenuation length in the crystal, and hence its light output. For crystals with high defect density, a severe reduction of light attenuation length may cause a distortion of the light response uniformity, leading to a degradation of the energy resolution. Additional radiation damage effects may include a reduced intrinsic scintillation light yield (damage to the luminescent centers) and an increased phosphorescence (afterglow). For crystals to be used in the construction a high precision calorimeter in a radiation environment, its scintillation mechanism must not be damaged and its light attenuation length in the expected radiation environment must be long enough so that its light response uniformity, and thus its energy resolution, does not change [47]. Most of the crystals listed in Table 28.4 have been used in high energy or nuclear

17 28. Detectors at accelerators 17 physics experiments when the ultimate energy resolution for electrons and photons is desired. Examples are the Crystal Ball NaI(Tl) calorimeter at SPEAR, the L3 BGO calorimeter at LEP, the CLEO CsI(Tl) calorimeter at CESR, the KTeV CsI calorimeter at the Tevatron, the BaBar, BELLE and BES II CsI(Tl) calorimeters at PEP-II, KEK and BEPC III. Because of its high density and low cost, PWO calorimeters are widely used by CMS and ALICE at LHC, by CLAS and PrimEx at CEBAF, and by PANDA at GSI. Recently, investigations have been made aiming at using LSO:Ce or LYSO:Ce crystals for future high energy or nuclear physics experiments [40]. Table 28.4: Properties of several inorganic crystal scintillators. Most of the notation is defined in Sec. 6 of this Review. Parameter: ρ MP X0 RM de /dx λ I τ decay λ max n Relative Hygro- d(ly)/dt output scopic? Units: g/cm 3 C cm cm MeV/cm cm ns nm %/ C NaI(Tl) yes 0.2 BGO no 0.9 BaF s 300 s s no 1.3 s 0.9 f 220 f 3.4 f 0 f CsI(Tl) slight 0.3 CsI(pure) s 420 s s slight f 310 f 1.1 f PbWO s 425 s s no f 420 f 0.29 f LSO(Ce) no 0.2 LaBr 3 (Ce) yes 0.2 Numerical values calculated using formulae in this review. Refractive index at the wavelength of the emission maximum. Relative light output measured for samples of 1.5 X 0 cube with a Tyvek paper wrapping and a full end face coupled to a photodetector. The quantum efficiencies of the photodetector is taken out. Variation of light yield with temperature evaluated at the room temperature. f = fast component, s =slowcomponent

18 Detectors at accelerators 7 Figure 28.2: The quantum efficiencies of two photodetectors, a Hamamatsu R2059 PMT with bi-alkali cathode and a Hamamatsu S8664 avalanche photodiode (APD), are shown as a function of wavelength. Also shown in the figure are emission spectra of three crystal scintillators, BGO, LSO and CsI(Tl), and the numerical values of the emission weighted quantum efficiency. The area under each emission spectrum is proportional to crystal s light yield Cherenkov detectors Revised September 2009 by B.N. Ratcliff (SLAC). Although devices using Cherenkov radiation are often thought of as only particle identification (PID) detectors, in practice they are used over a broader range of applications including; (1) fast particle counters; (2) hadronic PID; and (3) tracking detectors performing complete event reconstruction. Examples of applications from each category include; (1) the BaBar luminosity detector [48]; (2) the hadronic PID detectors at the B factory detectors DIRC in BaBar [9] and the aerogel threshold Cherenkov in Belle [49]; and (3) large water Cherenkov counters such as Super-Kamiokande [51]. Cherenkov counters contain two main elements; (1) a radiator through which the charged particle passes, and (2) a photodetector. As Cherenkov radiation is a weak source of photons, light collection and detection must be as efficient as possible. The refractive index n and the particle s path length through the radiator L appear in the Cherenkov relations allowing the tuning of these quantities for particular applications. Cherenkov detectors utilize one or more of the properties of Cherenkov radiation

19 28. Detectors at accelerators 19 discussed in the Passages of Particles through Matter section (Sec. 27 of this Review): the prompt emission of a light pulse; the existence of a velocity threshold for radiation; and the dependence of the Cherenkov cone half-angle θ c and the number of emitted photons on the velocity of the particle and the refractive index of the medium. The number of photoelectrons (N p.e. ) detected in a given device is N p.e. = L α2 z 2 r e m e c 2 ɛ(e) sin 2 θ c (E)dE, (28.5) where ɛ(e) is the efficiency for collecting the Cherenkov light and transducing it into photoelectrons, and α 2 /(r e m e c 2 ) = 370 cm 1 ev 1. The quantities ɛ and θ c are functions of the photon energy E. As the typical energy dependent variation of the index of refraction is modest, a quantity called the Cherenkov detector quality factor N 0 can be defined as N 0 = α2 z 2 r e m e c 2 so that, taking z = 1 (the usual case in high-energy physics), ɛde, (28.6) N p.e. LN 0 sin 2 θ c. (28.7) This definition of the quality factor N 0 is not universal, nor, indeed, very useful for those common situations where ɛ factorizes as ɛ = ɛ coll ɛ det with the geometrical photon collection efficiency (ɛ coll ) varying substantially for different tracks while the photon detector efficiency (ɛ det ) remains nearly track independent. In this case, it can be useful to explicitly remove (ɛ coll ) from the definition of N 0. A typical value of N 0 for a photomultiplier (PMT) detection system working in the visible and near UV, and collecting most of the Cherenkov light, is about 100 cm 1. Practical counters, utilizing a variety of different photodetectors, have values ranging between about 30 and 180 cm 1. Radiators can be chosen from a variety of transparent materials (Sec. 27 of this Review and Table 6.1). In addition to refractive index, the choice requires consideration of factors such as material density, radiation length and radiation hardness, transmission bandwidth, absorption length, chromatic dispersion, optical workability (for solids), availability, and cost. When the momenta of particles to be identified is high, the refractive index must be set close to one, so that the photon yield per unit length is low and a long particle path in the radiator is required. Recently, the gap in refractive index that has traditionally existed between gases and liquid or solid materials has been partially closed with transparent silica aerogels with indices that range between about and Cherenkov counters may be classified as either imaging or threshold types, depending on whether they do or do not make use of Cherenkov angle (θ c ) information. Imaging counters may be used to track particles as well as identify them. The recent development of very fast photodetectors such as micro-channel plate PMTs (MCP PMT) (see Sec of this Review) also potentially allows very fast Cherenkov based time of flight (TOF) detectors of either class [55].

20 Detectors at accelerators Threshold Cherenkov detectors [52], in their simplest form, make a yes/no decision based on whether the particle is above or below the Cherenkov threshold velocity β t =1/n. A straightforward enhancement of such detectors uses the number of observed photoelectrons (or a calibrated pulse height) to discriminate between species or to set probabilities for each particle species [53]. This strategy can increase the momentum range of particle separation by a modest amount (to a momentum some 20% above the threshold momentum of the heavier particle in a typical case). Careful designs give ɛ coll 90%. For a photomultiplier with a typical bialkali cathode, ɛdet de 0.27 ev, so that N p.e. /L 90 cm 1 sin 2 θ c (i.e., N 0 =90cm 1 ). (28.8) Suppose, for example, that n is chosen so that the threshold for species a is p t ;thatis, at this momentum species a has velocity β a =1/n. A second, lighter, species b with the same momentum has velocity β b,socosθ c = β a /β b,and N p.e. /L 90 cm 1 m2 a m2 b p 2 t + m2 a. (28.9) For K/π separation at p = p t =1(5)GeV/c, N p.e. /L 16(0.8) cm 1 for π s and (by design) 0 for K s. For limited path lengths N p.e. will usually be small. The overall efficiency of the device is controlled by Poisson fluctuations, which can be especially critical for separation of species where one particle type is dominant. Moreover, the effective number of photoelectrons is often less than the average number calculated above due to additional equivalent noise from the photodetector (see the discussion of the excess noise factor in Sec of this Review). It is common to design for at least 10 photoelectrons for the high velocity particle in order to obtain a robust counter. As rejection of the particle that is below threshold depends on not seeing a signal, electronic and other background noise can be important. Physics sources of light production for the below threshold particle, such as decay to an above threshold particle or the production of delta rays in the radiator, often limit the separation attainable, and need to be carefully considered. Well designed, modern multi-channel counters, such as the ACC at Belle [49], can attain adequate particle separation performance over a substantial momentum range for essentially the full solid angle of the spectrometer. Imaging counters make the most powerful use of the information available by measuring the ring-correlated angles of emission of the individual Cherenkov photons. Since low-energy photon detectors can measure only the position (and, perhaps, a precise detection time) of the individual Cherenkov photons (not the angles directly), the photons must be imaged onto a detector so that their angles can be derived [54]. Typically the optics map the Cherenkov cone onto (a portion of) a distorted circle at the photodetector. Though the imaging process is directly analogous to familiar imaging techniques used in telescopes and other optical instruments, there is a somewhat bewildering variety of methods used in a wide variety of counter types with different names. Some of the imaging methods used include (1) focusing by a lens; (2) proximity

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